SHM equations (ch. 9) Flashcards
1
Q
General equation for acceleration (SHM)
A
-ω^2x (negative angular frequency squared × displacement from equilibrium)
2
Q
Displacement in a system starting at equilibrium
A
x = x0*sin(ωt)
3
Q
Velocity in a system starting at equilibrium
A
v = ωx0*cos(ωt)
4
Q
Displacement in a system starting at max. displacement
A
x = x0*cos(ωt)
5
Q
Velocity in a system starting at max. displacement
A
v = -ωx0*sin(ωt)
6
Q
Period of a pendulum
A
T = 2π√(l/g)
7
Q
Period of a mass-spring
A
T = 2π√(m/k)
8
Q
Kinetic energy in an SHM system
A
KE = 1/2mω^2(x0-x)^2
9
Q
Total energy in an SHM system
A
E = 1/2mω^2x0^2
